Atkin-Lehner |
3+ 5- 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
63135d |
Isogeny class |
Conductor |
63135 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110208 |
Modular degree for the optimal curve |
Δ |
-193720971735 = -1 · 39 · 5 · 232 · 612 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 -2 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12624,-543205] |
[a1,a2,a3,a4,a6] |
Generators |
[30993116:542626571:85184] |
Generators of the group modulo torsion |
j |
-11304275372307/9842045 |
j-invariant |
L |
4.6897402475914 |
L(r)(E,1)/r! |
Ω |
0.22518840528522 |
Real period |
R |
10.412925660553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997539 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63135a1 |
Quadratic twists by: -3 |